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Finding the Fourth Proportional to 897.17, 1,234.64 and 871.79

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Solution

The fourth proportional to 897.17, 1,234.64 and 871.79 is: 1,199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.17 : 1,234.64 = 871.79 : x
  2. Step 2: Convert to fraction form
    897.17/1,234.64 = 871.79/x
  3. Step 3: Cross multiply
    897.17x = 1,234.64 × 871.79
  4. Step 4: Simplify right side
    897.17x = 1,076,342.81
  5. Step 5: Solve for x
    x = 1,076,342.81/897.17
  6. Step 6: Final answer
    x = 1,199.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.